MinT - Information on Result #2767695

Information on Result #2767695

Linear OOA(2²⁵¹, 65, F₂, 4, 168) (dual of [(65, 4), 9, 169]-NRT-code), using strength reduction based on linear OOA(2²⁵¹, 65, F₂, 4, 170) (dual of [(65, 4), 9, 171]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁷, 9, F₂, 4, 22) (dual of [(9, 4), 9, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,13P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2²¹⁵, 56, F₂, 4, 147) (dual of [(56, 4), 9, 148]-NRT-code), using
  - repeating each code word 4 times [i] based on linear OOA(2⁴⁷, 14, F₂, 4, 36) (dual of [(14, 4), 9, 37]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,19P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.